To find the top and bottom circles you use:
2(pi x r^2)
- your r (radius) is half of the diameter so 3.
To find the part around it you use:
2 x pi x r x height
Circles: 2(pi x 3^2) = 56.5487
Rectangular around: 2 x pi x 3 x 5 = 94.2478
- then add them together
56.5487 + 94.2478 = 150.7965 yards^2
Answer:
Step-by-step explanation:
g(x) = 3x + 5
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
-----------------------
f(x) = 2x² + 3
f(g(3)) = 2(g(3)) + 3
f(14) = 2(14²) + 3
f(14) = 2(196) + 3
f(14) = 392 + 3
f(14) = 395
-----------------------------
f(g(3)) = 395
Answer:
1:4
2:8
7:28
Step-by-step explanation:
Answer:
Step-by-step explanation:
3(3)^2 + 5(3) + 25
3*3 = 9, 5*3 = 15
3(9) + 15 + 25
27 + 15 + 25 = 67
We are asked to solve for the surface area of the described figure in the problem. We can conclude that the given figure is a rectangular prism since it was being mentioned in the problem that the height is laid flat. Therefore, the formula for the surface area is SA = PH + 2B where "P" stands for the perimeter of the rectangle and "B" stands for the area of the rectangle while "H" is for the height.
Solving for P, we have it:
P = width + length + width + length
P = 10 + 5 + 10 + 5
P = 30 inches
Solving for B, we have it:
B = length * width
B = 10 * 5
B = 50 inches squared
Solving for the surface area, we have it:
SA = PH + 2B
SA = 30*7 + (2*50)
SA = 310 inches squared
The answer is 310 in2.
